Algebra Examples

$f (x) = x^{2}$ , $g (x) = x - 5$

Step 1

Replace the function designators with the actual functions in $f (x) \cdot (g (x))$ .

$(x^{2}) \cdot (x - 5)$

Step 2

Simplify.

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Step 2.1

Apply the distributive property.

$x^{2} x + x^{2} \cdot - 5$

Step 2.2

Multiply $x^{2}$ by $x$ by adding the exponents.

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Step 2.2.1

Multiply $x^{2}$ by $x$ .

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Step 2.2.1.1

Raise $x$ to the power of $1$ .

$x^{2} x^{1} + x^{2} \cdot - 5$

Step 2.2.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{2 + 1} + x^{2} \cdot - 5$

Step 2.2.2

Add $2$ and $1$ .

$x^{3} + x^{2} \cdot - 5$

Step 2.3

Move $- 5$ to the left of $x^{2}$ .

$x^{3} - 5 x^{2}$